A Geometic Modeling Method for a Mountain Produced in Erosion Processes Based on the Recursive Refinement of Ridge-Lines

Abstract

Since CG Simulation of natural terrain has applications in many areas, various modeling methods for terrain have been developed including imaginary forgeries. This paper presents a new approach suitable for modeling an imaginary mountain such as is produced by erosion processes. Such terrain can not be simulated by standard fractal surfaces. The algorithm synthesizes the forgery of natural mountain by refining the given initial ridge-lines which reflect the outline of the ideal forgery. The refinement is established by adding derivative ridge-lines recursively to those produced so far.
Although ridge-lines are the notable geographical feature of mountains produced by erosion processes, no suitable modeling method was designed previously.